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2024 Vol.27, Issue 4

Research Article

Derivation of Induced Polarization Parameters from Time-Domain IP Survey Decay Curve Based on Differential Polarizability

시간 영역 유도분극 탐사 감쇠 곡선에서 미분 분극률에 기초한 IP 매개변수 도출

Juyeon Jeong1
,
Huieun Yu1
,
Myung Jin Nam12*
정 주연1
,
유 희은1
,
남 명진12*
1Department of Energy and Mineral Resources Engineering, Sejong University
2Department of Energy Resources and Geosystem Engineering, Sejong University
1세종대학교 에너지자원공학과
2세종대학교 지구자원시스템공학과
*Corresponding Author
30 November 2024. pp. 199-210
PDF XML Citation
Abstract

The decay curve of time-domain induced polarization (TDIP) was differentiated with respect to logarithmic time to construct the differential polarizability (DP) curve. This study utilized the resemblance between the DP curve and the phase curve of spectral induced polarization (SIP) to derived IP parameters (𝜂, 𝜏, c). The DP curve was observed to vary with the period of the transmitter in time-domain IP, and the magnitude of the IP parameters, showing increased resemblance to the SIP phase curve as the transmitter period increased. Furthermore, the IP parameters derived from the DP curve more closely aligned with the intrinsic parameters compared to those derived from the decay curve. This analysis was similarly applicable to laboratory experiment data, suggesting that TDIP measurements in the field could facilitate comparative analysis with laboratory SIP experiment results.

Keywords
Induced Polarization
Relaxation Model
Induced Polarization Parameters
Decay Curve
Phase Curve

이 논문은 시간 영역 유도분극(induced polarization; IP)의 감쇠 곡선을 로그 시간에 대해 미분하여 미분 분극률(differential polarizability; DP) 곡선을 구성하였다. 이 DP 곡선이 광대역 유도분극(spectral IP; SIP) 탐사의 위상 곡선과 유사하다는 점을 이용하여 IP 매개변수(충전율(𝜂), 시간상수(𝜏), 진동수 지수(c))를 도출하였다. 동일한 크기의 충전율 반응이더라도 매질 특성에 따라 이완 매질의 입자 분포, 종류, 입도 분포 정보를 내포하고 있기 때문에 매개 변수 도출하여 분석할 필요가 있다. 미분 분극률 곡선은 시간 영역 IP에서 송신원의 길이(주기)와 IP 매개변수의 크기에 따라 달라지며, 송신원의 길이가 길어질수록 SIP의 위상 곡선과 유사해지는 형태를 보였다. 또한, 감쇠 곡선에서 도출한 IP 매개변수보다 미분 분극률 곡선에서 도출한 IP 매개변수가 실제 매개변수와 더 유사함을 확인하였다. 이러한 분석은 실내 실험 자료에서도 유사하게 적용되었다. 이 결과는 미분 분극률 곡선을 이용한 해석이 현장에서 시간 영역 IP 탐사만 수행하더라도, 실내 SIP 실험 결과와 비교 분석할 수 있음을 제시한다.

키워드
유도분극 탐사
이완 모델
유도분극 매개변수
감쇠 곡선
위상
References
1

Alvarez, R., 1973, Complex dielectric permittivity in rocks: A method for its measurement and analysis, Geophysics, 38, 920-940.

10.1190/1.1440383
2

Binley, A., Slater, L. D., Fukes, M., and Cassiani, G., 2005, Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone, Water Resour. Res., 41, W12417

10.1029/2005WR004202
3

Buchheim, W. and Irmer, G., 1979, Zur Theorie der induzierten galvanischen Polarisation in Festkörpern mit elektrolytischer Porenfüllung, Gerlands Beiträge zur Geophysik, 88, 53-72.

4

Chelidze, T. and Gueguen, Y., 1999, Electrical spectroscopy of porous rocks: a review-I. Theoretical models, Geophysical J. Int., 137, 1-15.

10.1046/j.1365-246x.1999.00799.x
5

Cole, K. S. and Cole, R. H., 1941, Dispersion and absorption in dielectrics I. Alternating current characteristics, The Journal of chemical physics, 9, 341-351.

10.1063/1.1750906
6

Debye, P., 1929, Polare molekeln, Leipzig: Hirzel.

7

Dias, C. A., 2000, Developments in a model to describe low-frequency electrical polarization of rocks, Geophysics, 65, 437-451.

10.1190/1.1444738
8

Fiandaca, G., Ramm, J., Binley, A., Gazoty, A., Christiansen, A. V., and Auken, E., 2013, Resolving spectral information from time domain induced polarization data through 2-D inversion, Geophysical J. Int., 192, 631-646.

10.1093/gji/ggs060
9

Friedrich, C. and Braun, H., 1992, Generalized Cole-Cole behavior and its rheological relevance, Rheologica Acta, 31, 309-322.

10.1007/BF00418328
10

Gazoty, A., Fiandaca, G., Pedersen, J., Auken, E., Christiansen, A. V., and Pedersen, J., 2012, Application of time domain induced polarization to the mapping of lithotypes in a landfill site, Hydrol. Earth Syst. Sci., 16, 1793-1804.

10.5194/hess-16-1793-2012
11

Ghorbani, A., Camerlynck, C., Florsch, N., Cosenza, P., and Revil, A., 2007, Bayesian inference of the Cole-Cole parameters from time-and frequency-domain induced polarization, Geophys. Prospect., 55, 589-605.

10.1111/j.1365-2478.2007.00627.x
12

Guptasarma, D., 1982, Computation of the time-domain response of a polarizable ground, Geophysics, 47, 1574-1576.

10.1190/1.1441307
13

Gurin, G., Fomina, E., Emelianov, V., and Kozlov, E., 2022, New equipment for high-acuracy laboratory measurements of spectral induced polarization of rock samples in the time-and frequency domains: Testing of laboratory multifunction potentiostat-galvanostat, J. Appl. Geophysics, 203, 104703.

10.1016/j.jappgeo.2022.104703
14

Johansson, B., Jones, S., Dahlin, T., and Flyhammar, P., 2007, Comparisons of 2D-and 3D-inverted resistivity data as well as of resistivity-and IP-surveys on a landfill, Near Surface 2007-13th EAGE European Meeting of Environmental and Engineering Geophysics. European Association of Geoscientists & Engineers, cp-30-00105.

10.3997/2214-4609.20146658
15

Johansson, S., Fiandaca, G., and Dahlin, T., 2015, Influence of non-aqueous phase liquid configuration on induced polarization parameters: Conceptual models applied to a time-domain field case study, J. Appl. Geophysics, 123, 295-309.

10.1016/j.jappgeo.2015.08.010
16

Johansson, S., Lindskog, A., Fiandaca, G., and Dahlin, T., 2020, Spectral induced polarization of limestones: time domain field data, frequency domain laboratory data and physicochemical rock properties, Geophysical J. Int., 220, 928-950.

10.1093/gji/ggz504
17

Kemna, A., Binley, A., Cassiani, G., Niederleithinger, E., Revil, A., Slater, L., Williams, K. H., Orozco, A. F., Haegel, F. H., Hördt, A., Kruschwitz, S., Leroux, V., Titov, K., and Zimmermann, E., 2012, An overview of the spectral induced polarization method for near-surface applications, Near Surf. Geophys, 10, 453-468.

10.3997/1873-0604.2012027
18

Kessouri, P., Furman, A., Huisman, J. A., Martin, T., Mellage, A., Ntarlagiannis, D., Bücker, M., Ehosioke, S., Fernandez, P., Flores-Orozco, A., Kemna, A., Nguyen, F., Pilawski, T., Saneiyan, S., Schmutz, M., Schwartz, N., Weigand, M., Wu, Y., Zhang, C., and Placencia-Gomez, E., 2019, Induced polarization applied to biogeophysics: recent advances and future prospects, Near Surf. Geophys, 17, 595-621.

10.1002/nsg.12072
19

Kim, B., 2022, Development and a comparative analysis of interpretation techniques for induced-polarization methods based on simultaneous inversion method, Ph,D thesis, Sejong University (in Korean with English abstract).

20

Kim, B., Nam, M. J., and Kim, H. J., 2018, Inversion of time-domain induced polarization data based on time-lapse concept, J. Appl. Geophysics, 152, 26-37.

10.1016/j.jappgeo.2018.03.010
21

Kim, B., Son, J.-S., Yu, H., Jang, H., Jang, S., and Nam, M. J., 2022, Simultaneous inversion of spectral IP data with frequency constraints, J. Appl. Geophysics, 198, 104553.

10.1016/j.jappgeo.2022.104553
22

Komarov, V., 1980a, Ekektrorazvedka metodom vyzvannoi polarizatsii (Electrical Prospecting with the Induced Polarization Method), Nedra, Leningrad.

23

Komarov, V., 1980b, Electrical Prospecting for Induced Polarization Method. Nedra, Leningrad.

24

Leroux, V., Dahlin, T., and Rosqvist, H., 2010, Time-domain IP and resistivity sections measured at four landfills with different contents, Near Surface 2010-16th EAGE European Meeting of Environmental and Engineering Geophysics. European Association of Geoscientists & Engineers, cp-164-00086.

10.3997/2214-4609.20144851
25

Leroy, P., Revil, A., Kemna, A., Cosenza, P., and Ghorbani, A., 2008, Complex conductivity of water-saturated packs of glass beads, J. Colloid Interface Sci., 321, 103-117.

10.1016/j.jcis.2007.12.03118272167
26

Major, J. and Silic, J., 1981, Restrictions on the use of Cole-Cole dispersion models in complex resistivity interpretation, Geophysics, 46, 916-931.

10.1190/1.1441230
27

Marshall, D. J. and Madden, T. R., 1959, Induced polarization, a study of its causes, Geophysics, 24, 790-816.

10.1190/1.1438659
28

Martin, T., Günther, T., Orozco, A. F., and Dahlin, T., 2020, Evaluation of spectral induced polarization field measurements in time and frequency domain, J. Appl. Geophysics, 180, 104141.

10.1016/j.jappgeo.2020.104141
29

Martin, T., Titov, K., Tarasov, A., and Weller, A., 2021, Spectral induced polarization: Frequency domain versus time domain laboratory data, Geophysical J. Int., 225, 1982-2000.

10.1093/gji/ggab071
30

Maurya, P. K., Balbarini, N., Møller, I., Rønde, V., Christiansen, A. V., Bjerg, P. L., Auken, E., and Fiandaca, G., 2018, Subsurface imaging of water electrical conductivity, hydraulic permeability and lithology at contaminated sites by induced polarization, Geophysical J. Int., 213, 770-785.

10.1093/gji/ggy018
31

Olsson, P.-I., Dahlin, T., Fiandaca, G., and Auken, E., 2015, Measuring time-domain spectral induced polarization in the on-time: decreasing acquisition time and increasing signal-to-noise ratio, J. Appl. Geophysics, 123, 316-321.

10.1016/j.jappgeo.2015.08.009
32

Orozco, A. F., Bücker, M., Steiner, M., and Malet, J.-P., 2018, Complex-conductivity imaging for the understanding of landslide architecture, Eng. Geol., 243, 241-252.

10.1016/j.enggeo.2018.07.009
33

Orozco, A. F., Kemna, A., Oberdörster, C., Zschornack, L., Leven, C., Dietrich, P., and Weiss, H., 2012, Delineation of subsurface hydrocarbon contamination at a former hydrogenation plant using spectral induced polarization imaging, J. Contam. Hydrol., 136, 131-144.

10.1016/j.jconhyd.2012.06.00122784635
34

Pelton, W., Rijo, L., and Swift Jr, C., 1978, Inversion of two-dimensional resistivity and induced-polarization data, Geophysics, 43, 788-803.

10.1190/1.1440854
35

Revil, A. and Cosenza, P., 2010, Comment on "Generalized effective-medium theory of induced polarization", Geophysics, 75, X7-X9.

10.1190/1.3372299
36

Rücker, C., Günther, T., and Wagner, F. M., 2017, pyGIMLi: An open-source library for modelling and inversion in geophysics, Comput. Geosci., 109, 106-123.

10.1016/j.cageo.2017.07.011
37

Slater, L. D. and Lesmes, D., 2002, IP interpretation in environmental investigations, Geophysics, 67, 77-88.

10.1190/1.1451353
38

Slater, L. D. and Sandberg, S. K., 2000, Resistivity and induced polarization monitoring of salt transport under natural hydraulic gradients, Geophysics, 65, 408-420.

10.1190/1.1444735
39

Sogade, J. A., Scira-Scappuzzo, F., Vichabian, Y., Shi, W., Rodi, W., Lesmes, D. P., and Morgan, F. D., 2006, Induced-polarization detection and mapping of contaminant plumes, Geophysics, 71, B75-B84.

10.1190/1.2196873
40

Tarasov, A. and Titov, K., 2007, Relaxation time distribution from time domain induced polarization measurements, Geophysical J. Int., 170, 31-43.

10.1111/j.1365-246X.2007.03376.x
41

Tarasov, A. and Titov, K., 2013, On the use of the Cole-Cole equations in spectral induced polarization, Geophysical J. Int., 195, 352-356.

10.1093/gji/ggt251
42

Titov, K., Komarov, V., Tarasov, V., and Levitski, A., 2002, Theoretical and experimental study of time domain-induced polarization in water-saturated sands, J. Appl. Geophysics, 50, 417-433.

10.1016/S0926-9851(02)00168-4
43

Wait, J. R., 1984, Relaxation phenomena and induced polarization, Geoexploration, 22(2), 107-127.

10.1016/0016-7142(84)90032-2
44

Weller, A. and Börner, F., 1996, Measurements of spectral induced polarization for environmental purposes, Environ. Geol., 27, 329-334.

10.1007/BF00766702
45

Yuval and Oldenburg, D. W., 1997, Computation of Cole-Cole parameters from IP data, Geophysics, 62(2), 436-448.

10.1190/1.1444154
46

Zonge, K. L., Sauck, W. A., and Sumner, J. S., 1972, Comparison of time, frequency, and phase measurements in induced polarization, Geophysical Prospecting, 20(3), 626-648.

10.1111/j.1365-2478.1972.tb00658.x
Information
  • Publisher :Korean Society of Earth and Exploration Geophysicists
  • Publisher(Ko) :한국지구물리물리탐사학회
  • Journal Title :Geophysics and Geophysical Exploration
  • Journal Title(Ko) :지구물리와 물리탐사
  • Volume : 27
  • No :4
  • Pages :199-210
  • Received Date : 2024-10-31
  • Revised Date : 2024-11-22
  • Accepted Date : 2024-11-26
  • DOI :https://doi.org/10.7582/GGE.2024.27.4.199
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